finding a constant for a partial differential equation

by KataKoniK
Tags: constant, differential, equation, partial
KataKoniK is offline
Nov30-05, 07:48 PM
P: 168
Can anyone help me with this question? I tried taking the derivative of u with respect to x and then summed the third derivative, but I'm getting nowhere. Any help would be great, thanks.

Let u(x1, x2, , xn) = , where a is a constant, and n is given.

Find all the values of the constant a, if any, for which the function u satisfies the partial differential equation .
Phys.Org News Partner Science news on
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
CarlB is offline
Dec4-05, 10:04 PM
Sci Advisor
HW Helper
CarlB's Avatar
P: 1,204
Do you think it's possible that you should be making a substitution for the sum of x_i squared? It just seems that polar coordinates might be an easier way to work the problem. Not that it would be easy.


Now. How do I make that little "lightbulb" that I accidentally clicked on go away?

Register to reply

Related Discussions
Solving a partial differential equation (Helmholtz equation) Differential Equations 7
Partial Differential Equation? What is this? Calculus & Beyond Homework 5
A very odd partial differential equation. Differential Equations 0
Finding 1st and 2nd total partial differential Calculus 1
Partial Differential Equation Differential Equations 1